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Theory of categories
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===Aristotle=== {{Main|Categories (Aristotle)}} One of [[Aristotle]]βs early interests lay in the classification of the natural world, how for example the genus "animal" could be first divided into "two-footed animal" and then into "wingless, two-footed animal".<ref>Aristotle ''Metaphysics'' 1075a</ref> He realised that the distinctions were being made according to the qualities the animal possesses, the quantity of its parts and the kind of motion that it exhibits. To fully complete the proposition "this animal is ..." Aristotle stated in his work on the [[Categories (Aristotle)|Categories]] that there were ten kinds of predicate where ... "... each signifies either substance or quantity or quality or relation or where or when or being-in-a-position or having or acting or being acted upon".<ref>''Op.cit.2''</ref> He realised that predicates could be simple or complex. The simple kinds consist of a subject and a predicate linked together by the "categorical" or inherent type of relation. For Aristotle the more complex kinds were limited to propositions where the predicate is compounded of two of the above categories for example "this is a horse running". More complex kinds of proposition were only discovered after Aristotle by the Stoic, [[Chrysippus]],<ref>Long A. & Sedley D. ''The Hellenistic Philosophers'' (Cambridge University Press, 1987) p.206</ref> who developed the "hypothetical" and "disjunctive" types of [[syllogism]] and these were terms which were to be developed through the [[Scholasticism|Middle Ages]]<ref>Peter of Spain (''alias'' John XXI) ''Summulae Logicales''</ref> and were to reappear in [[Category (Kant)|Kant's system of categories]]. ''Category'' came into use with [[Aristotle]]'s essay ''[[Categories (Aristotle)|Categories]]'', in which he discussed univocal and [[Equivocation|equivocal]] terms, predication, and ten categories:<ref>''[http://www.gutenberg.org/files/2412/2412-h/2412-h.htm Categories]'', translated by [[Ella Mary Edghill|E. M. Edghill]]. For the Greek terms, see ''[http://meta.montclair.edu/ancient/greek/aristotle_greek/ The Complete Works of Aristotle in Greek] {{Webarchive|url=https://web.archive.org/web/20100401112540/http://meta.montclair.edu/ancient/greek/aristotle_greek/ |date=2010-04-01 }}'' (requires DjVu), Book 1 (''Organon''), ''Categories'' Section 4 (DjVu file's page 6).{{cite web |url=http://www.gutenberg.org/files/2412/2412-h/2412-h.htm |title=The Project Gutenberg E-text of the Categories, by Aristotle |access-date=2010-02-21 |url-status=bot: unknown |archive-url=https://web.archive.org/web/20131102084057/http://www.gutenberg.org/files/2412/2412-h/2412-h.htm |archive-date=2013-11-02 }}</ref> *'''[[Substance theory|Substance]]''', essence (''[[ousia]]'') β examples of primary substance: this man, this horse; secondary substance (species, genera): man, horse *'''[[Quantity]]''' (''poson'', how much), discrete or continuous β examples: two cubits long, number, space, (length of) time. *'''[[Quality (philosophy)|Quality]]''' (''poion'', of what kind or description) β examples: white, black, grammatical, hot, sweet, curved, straight. *'''[[Property (philosophy)|Relation]]''' (''pros ti'', toward something) β examples: double, half, large, master, knowledge. *'''[[Space|Place]]''' (''pou'', where) β examples: in a marketplace, in the Lyceum *'''[[Time]]''' (''pote'', when) β examples: yesterday, last year *'''[[Human position|Position]]''', posture, attitude (''keisthai'', to lie) β examples: sitting, lying, standing *'''State''', [[Condition (philosophy)|condition]] (''echein'', to have or be) β examples: shod, armed *'''[[Action (philosophy)|Action]]''' (''poiein'', to make or do) β examples: to lance, to heat, to cool (something) *'''[[Affection (philosophy)|Affection]]''', passion (''paschein'', to suffer or undergo) β examples: to be lanced, to be heated, to be cooled
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